Let y be the number of strength-training exercises per week.
Let x be the number of aerobic exercises per week.
For the beginner plan:
15y + 20x = 90 ..........(1)
For the advanced plan:
20y + 30x = 130 ........(2)
Multiply both sides of (1) by 3 to get:
45y + 60x = 270 ........(3)
Multiply both sides of (2) by2 to get:
40y + 60x = 260 .......(4)
Subtracting (4) from (3) we get:
5y = 10
y = 2
Plugging in the value of 2 for y in equation and solving, we find x = 3.
Therefore the correct statement is:
"Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week."
Answer 4: Angle 4,5 and 1
Answer 5: 3,4 and 5
Answer 6: The value of x is 10 because since angle 3 is 90 degrees angle 1 is 9x 9 times 10 equals 90 degrees which is the same as angle 3 which is 90 degrees, so the answer is 10.
Answer:
4096
Step-by-step explanation:
Lets start by applying a basic exponent rule. (a*b)^n is equal to a^n * b^n
Therefore,
((9(3/16)^-2)^3/2 = 9^3/2 * ((3/16)^-2)^3/2
Now lets focus on ((3/16)^-2)^3/2
(3/16)^-2 = 1/(3/16)^2 = (16^2/3^2)^3/2.
We can quickly eliminate the fractional exponent by plugging it into the numerator and the denominator and we get, 16^3/3^3 = 4096/27
So now we have, 9^3/2 * 4096/27
We can easily compute 9^3/2, which is (sqrt(9))^3, which is equal to 27.
Therefore, you have, 27*4096/27. The 27 cancels to give us a final answer of 4096
6x - 5 = 3x + 1
-3x -3x
————————
3x - 5 = 1
+ 5 + 5
————————
3x = 6
—— —
3 3
x = 2
Joe is 2 years old.
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Check
6(2) - 5 = 3(2) + 1
12 - 5 = 6 + 1
✔️
7 = 7
Answer:
t = 1.94 seconds
Step-by-step explanation:
we have to solve the following polynomial equation:
-16t² + 60 = 0
16t² = 60
t² = 60/16 = 3.75
t = √3.75 = 1.936491673 seconds
the equation also has another possible answer = -1.936491673 seconds, but since time cannot be negative, we have to dismiss that option